With the development of the privacy protection technology of the Internet, identity authentication has been a guardian of data andcomputer system. However, there exists some weaknesses in traditional identity authentication technology asit does notmeet requirements of the new information technology, i.e., the rise of the blockchain has raised higher requirements for identity authentication and it not only needs to identify different users but also has the necessary to protect the privacy of the users. Anonymous authentication technology is a method to protect users' privacy hiding, but most existing schemes do not supporta proper supervision mechanism. Once a user is dishonest, it is difficult to trackits real identity. Therefore, it is necessary to establish a regulatory mechanism in the process of anonymous authentication. In this study, a supervised anonymous authentication scheme is proposed to solve above problems. On the one hand, access rights are provided for users by anonymous credentials, and users can selectively exposetheir attributes when they need to present their credentials. In this way, it can assure that users' information is under protection. On the other hand, a regulatory mechanism is introduced in anonymous authentication, which can track the real identity when cheating occurs.The supervised anonymous authentication scheme is constructed by secure cryptographic schemes and it is proved to be semantic secure. The proposed scheme is efficient and can be applied toconsortium blockchain and other supervised anonymous authentication systems.